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Simplifying 6(2n + 4) = 6(6n + 9) + 5 Reorder the terms: 6(4 + 2n) = 6(6n + 9) + 5 (4 * 6 + 2n * 6) = 6(6n + 9) + 5 (24 + 12n) = 6(6n + 9) + 5 Reorder the terms: 24 + 12n = 6(9 + 6n) + 5 24 + 12n = (9 * 6 + 6n * 6) + 5 24 + 12n = (54 + 36n) + 5 Reorder the terms: 24 + 12n = 54 + 5 + 36n Combine like terms: 54 + 5 = 59 24 + 12n = 59 + 36n Solving 24 + 12n = 59 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 24 + 12n + -36n = 59 + 36n + -36n Combine like terms: 12n + -36n = -24n 24 + -24n = 59 + 36n + -36n Combine like terms: 36n + -36n = 0 24 + -24n = 59 + 0 24 + -24n = 59 Add '-24' to each side of the equation. 24 + -24 + -24n = 59 + -24 Combine like terms: 24 + -24 = 0 0 + -24n = 59 + -24 -24n = 59 + -24 Combine like terms: 59 + -24 = 35 -24n = 35 Divide each side by '-24'. n = -1.458333333 Simplifying n = -1.458333333
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